22.03.2023 - 23:46

Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55? A. 1155 B. 1145 C. 1040 D.

Question:

Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55?

A. 1155

B. 1145

C. 1040

D. 950

E. 259

Answers (1)
  • Fantom
    April 5, 2023 в 16:07

    Let's call the weight of the package "w" in grams.

    According to the information given in the problem, the cost of shipping the package can be calculated as follows:

    • For the first 250 grams: 65 cents
    • For each additional 100 grams (or part thereof): 10 cents

    Using this formula, we can set up an equation:

    65 + 10((w - 250)/100) = 155

    Simplifying the equation:

    65 + (w - 250)/10 = 155/10

    Multiplying both sides by 10:

    650 + w - 250 = 155

    Simplifying:

    w = 155 - 400 = -245

    This is not a possible weight for a package, since it is negative. Therefore, the correct answer is none of the options given.

    We can also see that the correct answer must be more than 250 grams, since the cost for the first 250 grams alone is 65 cents, which is less than the total cost of $1.55.

    We can eliminate options E (259) and A (1155), since they are too high.

    Option B (1145) is also too high, since it is more than 250 grams over the starting weight, and would result in a cost much higher than $1.55.

    Option C (1040) is also too high, since it would result in a cost of more than $1.55.

    Therefore, the correct answer must be option D (950).

    Checking this answer:

    • For the first 250 grams: 65 cents
    • For the next 700 grams (950 - 250): 7 x 10 cents = 70 cents

    Total cost: 65 cents + 70 cents = $1.35

    This is less than the given cost of $1.55, but if we add the cost for the next 50 grams (or part thereof), we get:

    • For the next 50 grams: 10 cents

    Total cost: 65 cents + 70 cents + 10 cents = $1.45

    Still less than the given cost of $1.55, but if we add the cost for the last 50 grams (or part thereof), we get:

    • For the last 50 grams: 10 cents

    Total cost: 65 cents + 70 cents + 10 cents + 10 cents = $1.55

    Therefore, the weight of the package must be 950 grams.

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